A charged particle of charge e and mass m is moving in an electric field `vecE` and magnetic field `vecB`. Construct dimensionless quantities and quantities of dimension `[T]^(-1)`.

Explanation

When electron enter in perpendicular magnetic field than magnetic force balance with centripetal force,
`(mv^(2))/R=qvB`
`therefore(qB)/m=v/R=omega`
`thereforeomega=v/R=(M^(0)L^(1)T^(-1))/L^(1)=T^(-1)`
Thus, angular frequency having dimension equal to `T^(-1)`.